Hey
Jancekmichal --
The trick here is the idea that once you take the absolute value of something, it
must be positive.
So based on that |x + 2| must be positive. This is important because of what follows.
Because an absolute value sign inside an absolute value sign is confusing, let's pretend that |x+2| = y instead. (This is just to simplify the equation. You could leave it as is)
That's going to give you | y + 7| = 6. Now solve that as an actual equation. Remember that with an absolute value sign you need to solve this twice, once as if what's inside the signs is negative and once as if it's positive. That will give you two equations:
y + 7 = 6, so y = -1 and y + 7 = -6, so y = - 13.
BUT WAIT. We said that y = |x + 2|, which we said must always be positive. That means that |x + 2| can't ever equal -6 or - 13, which means that there are no valid values for x that would make this equation true.
_________________
Laura
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